Space of modular forms of level 4675, weight 2, and Character 4675.m

• Label: 4675.2.m
• Level: $4675$
• Weight: $2$
• Character orbit: 4675.m
• Rep. character: $\chi_{4675}(307,\cdot)$
• Character field: $\Q(\zeta_{4})$
• Dimension: $576$
• Sturm bound: $1080$

Defining parameters

Level:	$N$	$=$	$4675 = 5^{2} \cdot 11 \cdot 17$
Weight:	$k$	$=$	$2$
Character orbit:	$[\chi]$	$=$	4675.m (of order $4$ and degree $2$)
Character conductor:	$\operatorname{cond}(\chi)$	$=$	$55$
Character field:			$\Q(i)$
Sturm bound:			$1080$

Dimensions

The following table gives the dimensions of various subspaces of $M_{2}(4675, [\chi])$.

	Total	New	Old
Modular forms	1104	576	528
Cusp forms	1056	576	480
Eisenstein series	48	0	48

Decomposition of $S_{2}^{\mathrm{new}}(4675, [\chi])$ into newform subspaces

The newforms in this space have not yet been added to the LMFDB.

Decomposition of $S_{2}^{\mathrm{old}}(4675, [\chi])$ into lower level spaces

$S_{2}^{\mathrm{old}}(4675, [\chi]) \simeq$ $S_{2}^{\mathrm{new}}(55, [\chi])$$^{\oplus 4}$$\oplus$$S_{2}^{\mathrm{new}}(275, [\chi])$$^{\oplus 2}$$\oplus$$S_{2}^{\mathrm{new}}(935, [\chi])$$^{\oplus 2}$